This problem is providing the produced moles of sodium hydroxide one must obtain from sodium oxide, so its moles are required and found to be 0.785 mol after the following calculations.
In chemistry, we use stoichiometry as a tool for calculating mole-mass relationships in chemical reactions. Thus, a balanced chemical equation is required as well as the corresponding mole ratio of the defined to the required substance.
In this case, we have the following chemical equation:
[tex]Na_2O + H_2O \rightarrow 2 NaOH[/tex]
Thus, since we have the moles of NaOH, we can apply a 2:1 mole ratio to Na2O in order to calculate the required:
[tex]1.57molNaOH*\frac{1molNa_2O}{2molNaOH} \\\\0.785molNa_2O[/tex]
Learn more about stoichiometry: brainly.com/question/9743981